EXTENDED MITTAG-LEFFLER FUNCTIONS ASSOCIATED WITH WEYL FRACTIONAL CALCULUS OPERATORS

被引：0

作者：

Nadir, Aneela ^{[1
]}

Khan, Adnan ^{[1
]}

机构：

[1] Natl Coll Business Adm & Econ, Dept Math, Rahim Yar Khan, Punjab, Pakistan

来源：

PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS | 2020年 / 52卷 / 04期

关键词：

extended Mittag-Leffler function; Weyl fractional calculus operator of integration; Weyl fractional calculus operator of differentiation; extended Beta function; Lebesgue measurable function;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article deals with the family of extended Mittag-Leffler function in short ML-function defined in terms of extended Beta function, which depends upon the bounded sequence {kappa(n)}. The focus of the article is to define integral and differential operators of Weyl-type fractional operators associated with the proposed function. A new fractional calculus integral operator involving extended ML-function is also defined and its composition with the fractional calculus operators and some basic properties studied as well.

引用

页码：53 / 64

页数：12

共 50 条

[21] GENERAL FRACTIONAL CALCULUS OPERATORS CONTAINING THE GENERALIZED MITTAG-LEFFLER FUNCTIONS APPLIED TO ANOMALOUS RELAXATION
Yang, Xiaojun
THERMAL SCIENCE, 2017, 21 : S317 - S326
[22] On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler Functions
Demirel, Ayse Kuebra
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2024, 21 (03): : 279 - 300
[23] Fractional Calculus of a Unified Mittag-Leffler Function
Prajapati, J. C.
Nathwani, B. V.
UKRAINIAN MATHEMATICAL JOURNAL, 2015, 66 (08) : 1267 - 1280
[24] Fractional Calculus of a Unified Mittag-Leffler Function
J. C. Prajapati
B. V. Nathwani
Ukrainian Mathematical Journal, 2015, 66 : 1267 - 1280
[25] Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus
Kiryakova, VS
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 118 (1-2) : 241 - 259
[26] Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus
Fernandez, Arran
Husain, Iftikhar
FRACTAL AND FRACTIONAL, 2020, 4 (03) : 1 - 15
[27] Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function
Kottakkaran Sooppy Nisar
D. L. Suthar
R. Agarwal
S. D. Purohit
Advances in Difference Equations, 2020
[28] Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function
Nisar, Kottakkaran Sooppy
Suthar, D. L.
Agarwal, R.
Purohit, S. D.
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[29] Fractional integral operator associated with extended Mittag-Leffler function
Nadir, Aneela
Khan, Adnan
INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES, 2019, 6 (02): : 1 - 5
[30] On Mittag-Leffler type function, fractional calculus operators and solutions of integral equations
Kilbas, AA
Saigo, M
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 1996, 4 (04) : 355 - 370

← 1 2 3 4 5 →